GCF of 1548/475, 7015/3929
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1548/475, 7015/3929 i.e 1/1866275 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1548/475, 7015/3929.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 1548/475,7015/3929?
Given fractions are 1548/475,7015/3929
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 1548/475,7015/3929, numerators are 1548,7015
Denominators are 475,3929
The GCF of 1548,7015 is 1 .
LCM of 475,3929 is 1866275.
The greatest common factor of 1548/475,7015/3929 = [GCF of 1548,7015]/[LCM of 475,3929]= 1/1866275
Therefore, the GCF of 1548/475,7015/3929 is 1/1866275.
To find the highest common factor of 1548,7015, we have to find the factors of both numbers and list the highest common factor.
The factors of 1548 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 43, 86, 129, 172, 258, 387, 516, 774, 1548
The factors of 7015 are 1, 5, 23, 61, 115, 305, 1403, 7015
The HCF of 1548,7015 is 1.
Lets's calculate GCF of 1548,7015
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1548,7015 By Matching Biggest Common Factor Method
Now, list down the factors of 1548
:1,2,3,4,6,9,12,18,36,43,86,129,172,258,387,516,774,1548
Now, list down the factors of 7015
:1,5,23,61,115,305,1403,7015
Greatest Common Factor
We found the factors 1548,7015 . The biggest common factor number is the GCF number.
So the greatest common factor 1548,7015 is 1.
Lets's calculate LCM of 475,3929
Given numbers has no common factors except 1. So, there LCM is their product i.e 1866275
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1866275
Therefore, the GCF of Fractions 1548/475,7015/3929 is 1/1866275
Least Common Multiple of 475,3929 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 475,3929 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(475,3929) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(475,3929) x common factors =1 x 1 = 1
LCM(475,3929) = ( 475 × 3929 ) / 1
LCM(475,3929) = 1866275 / 1
LCM(475,3929) = 1866275
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FAQs on GCF of Fractions of 1548/475, 7015/3929
1. What is the HCF of 1548,7015?
The HCF of 1548,7015 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 1548/475, 7015/3929?
Answer: GCF of Numerators as per given numbers 1548/475, 7015/3929 is
GCF of Numerators i.e. for 1548,7015 is 1
LCM of denominators i.e. for 475,3929 is 1866275.
Thus, GCF of Fractions is 1/1866275.Finally, GCF of Fractions for 1548/475, 7015/3929 is 1/1866275.